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Finding the Third Proportional to 46,854 and 101,546

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Solution

The third proportional to 46,854 and 101,546 is: 220,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854 : 101,546 = 101,546 : x
  2. Step 2: Convert to fraction form
    46,854/101,546 = 101,546/x
  3. Step 3: Cross multiply
    46,854x = 101,546 × 101,546
  4. Step 4: Simplify right side
    46,854x = 10,311,590,116
  5. Step 5: Solve for x
    x = 10,311,590,116/46,854
  6. Step 6: Final answer
    x = 220,079.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.